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68760540 = 22325382003
BaseRepresentation
bin1000001100100…
…11001111011100
311210101101201200
410012103033130
5120100314130
610453435500
71463312022
oct406231734
9153341650
1068760540
11358a48a2
121b03bb90
1311326614
1491bc712
156083760
hex41933dc

68760540 has 36 divisors (see below), whose sum is σ = 208574184. Its totient is φ = 18336096.

The previous prime is 68760533. The next prime is 68760553. The reversal of 68760540 is 4506786.

It is a happy number.

68760540 is a `hidden beast` number, since 6 + 8 + 7 + 605 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×687605402 = 9456023722183200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68760495 and 68760504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 190822 + ... + 191181.

Almost surely, 268760540 is an apocalyptic number.

68760540 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68760540 is an abundant number, since it is smaller than the sum of its proper divisors (139813644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68760540 is a wasteful number, since it uses less digits than its factorization.

68760540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382018 (or 382013 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68760540 is about 8292.1975374445. The cubic root of 68760540 is about 409.6815691304.

The spelling of 68760540 in words is "sixty-eight million, seven hundred sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 382003 764006 1146009 1528012 1910015 2292018 3438027 3820030 4584036 5730045 6876054 7640060 11460090 13752108 17190135 22920180 34380270 68760540